A company wants to develop a level production plan. The beginning inventory is zero. Demand for the next four periods is given in what follows.

a$.$ What production rate per period will give a zero inventory at the end of period $4?$

b$.$ When and in what quantities will backorders occur?

c$.$ What level production rate per period will aypid backorders? What will be the ending inventory in period $4?$

$\backslash$table$[[$Week$,1,2,3,4,$Total$],[$Forecast Demand,$70,90,90,80,],[$Planned Production,,,,,$],[$Planned Inventory,$0,,,,]]$